Qualitative analysis and sensitivity based optimal control of pine wilt disease

We design a deterministic model of pine wilt affliction to analyze the transmission dynamics. We obtain the reproduction number in unequivocal form, and global dynamics of the ailment is totally controlled by this number. With a specific end goal to survey the adequacy of malady control measures, we...

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Bibliographic Details
Published in:Advances in difference equations 2018-01, Vol.2018 (1), p.1-19, Article 27
Main Authors: Awan, Aziz Ullah, Hussain, Takasar, Okosun, Kazeem Oare, Ozair, Muhammad
Format: Article
Language:English
Subjects:
Analysis
Difference and Functional Equations
dynamical system
Functional Analysis
Mathematics
Mathematics and Statistics
optimal control
Ordinary Differential Equations
Partial Differential Equations
pine wilt disease
sensitivity analysis
stability analysis
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Summary:We design a deterministic model of pine wilt affliction to analyze the transmission dynamics. We obtain the reproduction number in unequivocal form, and global dynamics of the ailment is totally controlled by this number. With a specific end goal to survey the adequacy of malady control measures, we give the affectability investigation of basic reproduction number R 0 and the endemic levels of diseased classes regarding epidemiological parameters. From the aftereffects of the sensitivity analysis, we adjust the model to evaluate the effect of three control measures: exploitation of the tainted pines, preventive control to limit vector host contacts, and bug spray control to the vectors. Optimal analysis and numerical simulations of the model show that limited and appropriate utilization of control measures may extensively diminish the number of infected pines in a viable way.
ISSN:1687-1847
1687-1847
DOI:10.1186/s13662-018-1486-1